Quantum Information Processing with Low-Dimensional Systems

Details Quantum Information Processing with Low-Dimensional Systems Quantum Information Processing with Low-Dimensional Systems

2005-12-05

arxiv.org/abs/quant-ph/0512034v1

NATO Science Series, III: Comp. Syst. Sciences 199, p 103 (2006)

Physics

Quantum Physics

Comment: LaTeX, 8 pages

Scientific paper

A `register' in quantum information processing -- is composition of k quantum systems, `qudits'. The dimensions of Hilbert spaces for one qudit and whole quantum register are d and d^k respectively, but we should have possibility to prepare arbitrary entangled state of these k systems. Preparation and arbitrary transformations of states are possible with universal set of quantum gates and for any d may be suggested such gates acting only on single systems and neighbouring pairs. Here are revisited methods of construction of Hamiltonians for such universal set of gates and as a concrete new example is considered case with qutrits. Quantum tomography is also revisited briefly.

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